Linear Equations in One Unknow(Quick)

1. 6(2-x)=4(2+x)-3(x+8)
12-6x=8+4x-3x-24
28=7x
x=4



2. 3[2x-5(7-3x)]=4(7-5x)+9
3(2x-35+15x)=28-20x+9
51x-105=37-20x
71x=142
x=2


3. 2(x-9)-7(3x+2)=4(x-3)-6(3x-4)
2x-18-21x-14=4x-12-18x+24
-19x-32= - 14x+12
-44=5x
x= - 44/5

I will help you with the first one, you should try the rest of them yourself.

6(2-x)=4(2+x)-3(x+8)
12 - 6x = 8 + 4x - 3x - 24 <-- expand
12 - 6x = (4x - 3x) + (8 - 24) <-- regroup
12 - 6x = x - 16
12 - 6x + 6x = x - 16 + 6x <-- add 6x on both sides
12 = 7x - 16
12 + 16 = 7x - 16 + 16 <-- add 16 on both sides
28 = 7x
28/7 = 7x/7 <-- both sides divided by 7
4 = x <-- QED